Ring of simple polytopes and differential equations

DOI10.1134/S0081543808040032zbMath1184.52012OpenAlexW1990649539MaRDI QIDQ735617

Victor M. Buchstaber

Publication date: 23 October 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543808040032

zbMATH Keywords

graph\(f\)-vector\(h\)-vectorgroup lawderivationsimple polytope

Mathematics Subject Classification ID

Combinatorial properties of polytopes and polyhedra (number of faces, shortest paths, etc.) (52B05) Derivations and commutative rings (13N15)

Related Items (11)

Some explicit expressions concerning BP ⋮ Higher order Massey products and applications ⋮ Quasisymmetric Functions for Nestohedra ⋮ Combinatorial 2-truncated Cubes and Applications ⋮ On the Buchstaber formal group law and some related genera ⋮ Buchstaber invariant theory of simplicial complexes and convex polytopes ⋮ Massey products, toric topology and combinatorics of polytopes ⋮ Nerve complexes and moment-angle spaces of convex polytopes ⋮ Gal's conjecture for nestohedra corresponding to complete bipartite graphs ⋮ Viktor Matveevich Buchstaber (on his 70th birthday) ⋮ Fullerenes and disk-fullerenes

Cites Work

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• Nested complexes and their polyhedral realizations
• Faces of generalized permutohedra
• Quasilinear Burgers-Hopf equation and Stasheff polytopes
• The polytope algebra
• On simple polytopes
• Real root conjecture fails for five- and higher-dimensional spheres
• Face-polynomials of simple polytopes and the two-parameter Todd genus
• On the formal group laws of unoriented and complex cobordism theory
• On polytopes that are simple at the edges

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